Analytical derivation of elasticity in breast phantoms for deformation tracking

Vincent Groenhuis (Corresponding Author), Francesco Visentin, Françoise Jeanette Siepel, Bogdan Mihai Maris, Diego Dall'Alba, Paolo Fiorini, Stefano Stramigioli

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)
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Abstract

Purpose
Patient-specific biomedical modeling of the breast is of interest for medical applications such as image registration, image guided procedures and the alignment for biopsy or surgery purposes. The computation of elastic properties is essential to simulate deformations in a realistic way. This study presents an innovative analytical method to compute the elastic modulus and evaluate the elasticity of a breast using magnetic resonance (MRI) images of breast phantoms.

Methods
An analytical method for elasticity computation was developed and subsequently validated on a series of geometric shapes, and on four physical breast phantoms that are supported by a planar frame. This method can compute the elasticity of a shape directly from a set of MRI scans. For comparison, elasticity values were also computed numerically using two different simulation software packages.

Results
Application of the different methods on the geometric shapes shows that the analytically derived elongation differs from simulated elongation by less than 9% for cylindrical shapes, and up to 18% for other shapes that are also substantially vertically supported by a planar base. For the four physical breast phantoms, the analytically derived elasticity differs from numeric elasticity by 18% on average, which is in accordance with the difference in elongation estimation for the geometric shapes. The analytic method has shown to be multiple orders of magnitude faster than the numerical methods.

Conclusion
It can be concluded that the analytical elasticity computation method has good potential to supplement or replace numerical elasticity simulations in gravity-induced deformations, for shapes that are substantially supported by a planar base perpendicular to the gravitational field. The error is manageable, while the calculation procedure takes less than one second as opposed to multiple minutes with numerical methods. The results will be used in the MRI and Ultrasound Robotic Assisted Biopsy (MURAB) project.
Original languageEnglish
Pages (from-to)1641-1650
Number of pages10
JournalInternational journal of computer assisted radiology and surgery
Volume13
Issue number10
Early online date4 Jun 2018
DOIs
Publication statusPublished - 1 Oct 2018
Event32nd International Congress and Exhibition on Computer Assested Radiology and Surgery 2018 - NH Collection Friedrichstrasse, Berlin, Germany
Duration: 20 Jun 201823 Jun 2018
Conference number: 32
https://www.cars-int.org/cars_2018/scientific_program/overview.html

Fingerprint

Elasticity
Breast
Elongation
Biopsy
Magnetic resonance imaging
Elastic Modulus
Numerical methods
Image registration
Medical applications
Magnetic resonance
Software packages
Surgery
Gravitation
Robotics
Elastic moduli
Ultrasonics
Magnetic Resonance Spectroscopy
Software
Magnetic Resonance Imaging

Keywords

  • UT-Hybrid-D

Cite this

Groenhuis, Vincent ; Visentin, Francesco ; Siepel, Françoise Jeanette ; Maris, Bogdan Mihai ; Dall'Alba, Diego ; Fiorini, Paolo ; Stramigioli, Stefano . / Analytical derivation of elasticity in breast phantoms for deformation tracking. In: International journal of computer assisted radiology and surgery. 2018 ; Vol. 13, No. 10. pp. 1641-1650.
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title = "Analytical derivation of elasticity in breast phantoms for deformation tracking",
abstract = "PurposePatient-specific biomedical modeling of the breast is of interest for medical applications such as image registration, image guided procedures and the alignment for biopsy or surgery purposes. The computation of elastic properties is essential to simulate deformations in a realistic way. This study presents an innovative analytical method to compute the elastic modulus and evaluate the elasticity of a breast using magnetic resonance (MRI) images of breast phantoms.MethodsAn analytical method for elasticity computation was developed and subsequently validated on a series of geometric shapes, and on four physical breast phantoms that are supported by a planar frame. This method can compute the elasticity of a shape directly from a set of MRI scans. For comparison, elasticity values were also computed numerically using two different simulation software packages.ResultsApplication of the different methods on the geometric shapes shows that the analytically derived elongation differs from simulated elongation by less than 9{\%} for cylindrical shapes, and up to 18{\%} for other shapes that are also substantially vertically supported by a planar base. For the four physical breast phantoms, the analytically derived elasticity differs from numeric elasticity by 18{\%} on average, which is in accordance with the difference in elongation estimation for the geometric shapes. The analytic method has shown to be multiple orders of magnitude faster than the numerical methods.ConclusionIt can be concluded that the analytical elasticity computation method has good potential to supplement or replace numerical elasticity simulations in gravity-induced deformations, for shapes that are substantially supported by a planar base perpendicular to the gravitational field. The error is manageable, while the calculation procedure takes less than one second as opposed to multiple minutes with numerical methods. The results will be used in the MRI and Ultrasound Robotic Assisted Biopsy (MURAB) project.",
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Analytical derivation of elasticity in breast phantoms for deformation tracking. / Groenhuis, Vincent (Corresponding Author); Visentin, Francesco; Siepel, Françoise Jeanette; Maris, Bogdan Mihai; Dall'Alba, Diego; Fiorini, Paolo; Stramigioli, Stefano .

In: International journal of computer assisted radiology and surgery, Vol. 13, No. 10, 01.10.2018, p. 1641-1650.

Research output: Contribution to journalArticleAcademicpeer-review

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T1 - Analytical derivation of elasticity in breast phantoms for deformation tracking

AU - Groenhuis, Vincent

AU - Visentin, Francesco

AU - Siepel, Françoise Jeanette

AU - Maris, Bogdan Mihai

AU - Dall'Alba, Diego

AU - Fiorini, Paolo

AU - Stramigioli, Stefano

N1 - Springer deal

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N2 - PurposePatient-specific biomedical modeling of the breast is of interest for medical applications such as image registration, image guided procedures and the alignment for biopsy or surgery purposes. The computation of elastic properties is essential to simulate deformations in a realistic way. This study presents an innovative analytical method to compute the elastic modulus and evaluate the elasticity of a breast using magnetic resonance (MRI) images of breast phantoms.MethodsAn analytical method for elasticity computation was developed and subsequently validated on a series of geometric shapes, and on four physical breast phantoms that are supported by a planar frame. This method can compute the elasticity of a shape directly from a set of MRI scans. For comparison, elasticity values were also computed numerically using two different simulation software packages.ResultsApplication of the different methods on the geometric shapes shows that the analytically derived elongation differs from simulated elongation by less than 9% for cylindrical shapes, and up to 18% for other shapes that are also substantially vertically supported by a planar base. For the four physical breast phantoms, the analytically derived elasticity differs from numeric elasticity by 18% on average, which is in accordance with the difference in elongation estimation for the geometric shapes. The analytic method has shown to be multiple orders of magnitude faster than the numerical methods.ConclusionIt can be concluded that the analytical elasticity computation method has good potential to supplement or replace numerical elasticity simulations in gravity-induced deformations, for shapes that are substantially supported by a planar base perpendicular to the gravitational field. The error is manageable, while the calculation procedure takes less than one second as opposed to multiple minutes with numerical methods. The results will be used in the MRI and Ultrasound Robotic Assisted Biopsy (MURAB) project.

AB - PurposePatient-specific biomedical modeling of the breast is of interest for medical applications such as image registration, image guided procedures and the alignment for biopsy or surgery purposes. The computation of elastic properties is essential to simulate deformations in a realistic way. This study presents an innovative analytical method to compute the elastic modulus and evaluate the elasticity of a breast using magnetic resonance (MRI) images of breast phantoms.MethodsAn analytical method for elasticity computation was developed and subsequently validated on a series of geometric shapes, and on four physical breast phantoms that are supported by a planar frame. This method can compute the elasticity of a shape directly from a set of MRI scans. For comparison, elasticity values were also computed numerically using two different simulation software packages.ResultsApplication of the different methods on the geometric shapes shows that the analytically derived elongation differs from simulated elongation by less than 9% for cylindrical shapes, and up to 18% for other shapes that are also substantially vertically supported by a planar base. For the four physical breast phantoms, the analytically derived elasticity differs from numeric elasticity by 18% on average, which is in accordance with the difference in elongation estimation for the geometric shapes. The analytic method has shown to be multiple orders of magnitude faster than the numerical methods.ConclusionIt can be concluded that the analytical elasticity computation method has good potential to supplement or replace numerical elasticity simulations in gravity-induced deformations, for shapes that are substantially supported by a planar base perpendicular to the gravitational field. The error is manageable, while the calculation procedure takes less than one second as opposed to multiple minutes with numerical methods. The results will be used in the MRI and Ultrasound Robotic Assisted Biopsy (MURAB) project.

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VL - 13

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JO - International journal of computer assisted radiology and surgery

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SN - 1861-6410

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